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132114444444144 = 24322294093999239
BaseRepresentation
bin11110000010100001001010…
…100001111110000111110000
3122022210000110210021021022100
4132002201022201332013300
5114304030340234203034
61144552312104340400
736553645044013221
oct3602411241760760
9568700423237270
10132114444444144
113910646a743858
12129987b8174700
13589445303aa56
14248a5321d9248
1510418ee936099
hex78284a87e1f0

132114444444144 has 60 divisors (see below), whose sum is σ = 369738656305200. Its totient is φ = 44037945172992.

The previous prime is 132114444444139. The next prime is 132114444444181. The reversal of 132114444444144 is 441444444411231.

132114444444144 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 4 + 4 + 44 + 444 + 144 = 666.

It is a super-2 number, since 2×1321144444441442 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132114444444144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31035277 + ... + 35034515.

It is an arithmetic number, because the mean of its divisors is an integer number (6162310938420).

Almost surely, 2132114444444144 is an apocalyptic number.

It is an amenable number.

132114444444144 is an abundant number, since it is smaller than the sum of its proper divisors (237624211861056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132114444444144 is a wasteful number, since it uses less digits than its factorization.

132114444444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228662 (or 4228653 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 45.

Adding to 132114444444144 its reverse (441444444411231), we get a palindrome (573558888855375).

The spelling of 132114444444144 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-four million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229409 458818 688227 917636 1376454 1835272 2064681 2752908 3670544 3999239 4129362 5505816 7998478 8258724 11011632 11997717 15996956 16517448 23995434 31993912 33034896 35993151 47990868 63987824 71986302 95981736 143972604 191963472 287945208 575890416 917461419751 1834922839502 2752384259253 3669845679004 5504768518506 7339691358008 8257152777759 11009537037012 14679382716016 16514305555518 22019074074024 33028611111036 44038148148048 66057222222072 132114444444144